Telling stories: Enumerating maximal directed acyclic graphs with a constrained set of sources and targets

Abstract : We present a constrained version of the problem of enumerating all maximal directed acyclic subgraphs (DAG) of a graph G. In this version, we enumerate maximal DAGs whose sources and targets belong to a prede ned subset of the nodes. We call such DAGs stories. We rst show how to compute one story in polynomial-time, and then describe two di erent algorithms to \tell" all possible stories.
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Vicente Acuña, Etienne Birmelé, Ludovic Cottret, Pierluigi Crescenzi, Fabien Jourdan, et al.. Telling stories: Enumerating maximal directed acyclic graphs with a constrained set of sources and targets. Theoretical Computer Science, Elsevier, 2012, 457, pp.1--9. 〈10.1016/j.tcs.2012.07.023〉. 〈hal-00764025〉

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